On the Flavor Problem in Strongly Coupled Theories - THEP Mainz
On the Flavor Problem in Strongly Coupled Theories - THEP Mainz
On the Flavor Problem in Strongly Coupled Theories - THEP Mainz
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140 Chapter 3. Solv<strong>in</strong>g <strong>the</strong> <strong>Flavor</strong> <strong>Problem</strong> <strong>in</strong> <strong>Strongly</strong> <strong>Coupled</strong> <strong>Theories</strong><br />
(a) (b) (c) (d)<br />
(e) (f)<br />
Figure 3.13: In <strong>the</strong> first row, <strong>the</strong> lead<strong>in</strong>g diagrams for <strong>the</strong> s<strong>in</strong>gle and pair production<br />
of axigluon or scalar octet resonances are shown for gluon <strong>in</strong>itial states. Coiled l<strong>in</strong>es<br />
represent gluons, straight l<strong>in</strong>es quarks and dashed l<strong>in</strong>es can be ei<strong>the</strong>r an axigluon KK<br />
mode or a scalar octet. The diagrams (b) and (c) exist also for an axigluon (octet) <strong>in</strong><br />
<strong>the</strong> loop and a octet (axigluon) f<strong>in</strong>al state. The second l<strong>in</strong>e shows <strong>the</strong> favored decay<br />
channels for <strong>the</strong> pair production, with <strong>the</strong> straight l<strong>in</strong>es <strong>in</strong> (e) denot<strong>in</strong>g top quarks <strong>in</strong><br />
case of a neutral octet and top-bottom pairs if <strong>the</strong> octets are charged.<br />
from gluon <strong>in</strong>itial states [193]. However, even though <strong>the</strong>y are color charged, <strong>the</strong> new<br />
scalars are electroweak doublets and can <strong>the</strong>refore only be produced from gluon <strong>in</strong>itial<br />
states via loop suppressed gluon-gluon fusion, or <strong>in</strong> pairs, see Figure 3.13.<br />
The same holds true for <strong>the</strong> axigluon. From <strong>the</strong> second l<strong>in</strong>e of (3.84) it is clear that<br />
a GGA vertex is forbidden, as well as any vertex with an odd number of axigluons if<br />
θ = 45 ◦ , that is, if <strong>the</strong> new resonance couples purely axial. This is a result of parity<br />
conservation, s<strong>in</strong>ce <strong>the</strong> axigluon must have negative parity. As a consequence <strong>the</strong><br />
production channels from gluon <strong>in</strong>itial states for a heavy axigluon resonance are also<br />
given by <strong>the</strong> diagrams <strong>in</strong> <strong>the</strong> first row of Figure 3.13.<br />
Regard<strong>in</strong>g <strong>the</strong> decays one can say, that <strong>the</strong> color octet will decay primarily <strong>in</strong>to tops,<br />
because its coupl<strong>in</strong>gs are proportional to <strong>the</strong> Yukawa coupl<strong>in</strong>gs. This is also true for<br />
<strong>the</strong> axigluon <strong>in</strong> <strong>the</strong> RS model, because it will be strongly IR localized and <strong>the</strong> RS-GIM<br />
mechanism suppresses coupl<strong>in</strong>gs to <strong>the</strong> light flavors. Both will <strong>the</strong>refore also evade<br />
<strong>the</strong> usual dijet bounds, because a top pair f<strong>in</strong>al state will not look like two jets <strong>in</strong> <strong>the</strong><br />
detector and is often not reconstructed <strong>in</strong> <strong>the</strong>se analyses. Possible signatures would<br />
be seen <strong>in</strong> resonance searches <strong>in</strong> top pair f<strong>in</strong>al states for <strong>the</strong> gluon-fusion production<br />
channel, or <strong>in</strong> four top f<strong>in</strong>al states if <strong>the</strong> resonances are pair-produced at tree-level.<br />
There is also <strong>the</strong> diagram (f) <strong>in</strong> Figure 3.13, but this will not produce a narrow resonance<br />
<strong>in</strong> <strong>the</strong> dijet spectrum. Scalar octets can also radiate off an electroweak gauge<br />
boson before <strong>the</strong>y decay, which is however suppressed if <strong>the</strong> decay <strong>in</strong> top pairs is k<strong>in</strong>ematically<br />
accessible, see [200, Fig.4] and <strong>the</strong> analysis <strong>the</strong>re<strong>in</strong>.<br />
In order to estimate whe<strong>the</strong>r <strong>the</strong> extended RS model is <strong>in</strong> conflict with <strong>the</strong> direct<br />
detection limits we will concentrate on <strong>the</strong> axigluon KK mode. For this resonance <strong>the</strong>